Unital algebra structure and generalized algebra norms
Rings and Algebras
2023-12-12 v9
Abstract
We present a generalization of the notion of an algebra norm relevant to real finite-dimensional unital associative algebras. Among other things, this leads to a novel set of algebra isomorphism invariants, some of which are computationally straightforward in general, thereby augmenting the recognized accessible distinguishing features of algebra structure.
Cite
@article{arxiv.2207.11358,
title = {Unital algebra structure and generalized algebra norms},
author = {Fred Greensite},
journal= {arXiv preprint arXiv:2207.11358},
year = {2023}
}
Comments
This paper has been thoroughly superseded by arXiv 2306.14995, with which it has substantial overlap but lacks the latter's focus on coarser alternatives to the (wild) algebra classification problem, extension to nonunital algebras, presentation of a significant conjecture, and more appropriate definitions and nomenclature